The isometric extension problem between unit spheres of two separable Banach spaces

Verfasser / Beitragende:
[Guang Ding]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/12(2015-12-01), 1872-1878
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10114-015-4742-2  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4742-2 
100 1 |a Ding  |D Guang  |u School of Mathematical Sciences and LPMC, Nankai University, 300071, Tianjin, P. R. China  |4 aut 
245 1 4 |a The isometric extension problem between unit spheres of two separable Banach spaces  |h [Elektronische Daten]  |c [Guang Ding] 
520 3 |a In this article, we use some analytic and geometric characters of the smooth points in a sphere to study the isometric extension problem in the separable or reflexive real Banach spaces. We obtain that under some condition the answer to this problem is affirmative. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Isometric extension  |2 nationallicence 
690 7 |a smooth point  |2 nationallicence 
690 7 |a supporting functional  |2 nationallicence 
690 7 |a set of first category  |2 nationallicence 
690 7 |a set of second category  |2 nationallicence 
690 7 |a residual subset  |2 nationallicence 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/12(2015-12-01), 1872-1878  |x 1439-8516  |q 31:12<1872  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-4742-2  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-4742-2  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Ding  |D Guang  |u School of Mathematical Sciences and LPMC, Nankai University, 300071, Tianjin, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/12(2015-12-01), 1872-1878  |x 1439-8516  |q 31:12<1872  |1 2015  |2 31  |o 10114